2004/01/31 by Giulio Biroli, G Biroli, Jean-Philippe Bouchaud +1 · 12 citations
Materials Science · Physics and Astronomy · #Critical dimension #Critical exponent #Critical phenomena #Dimension (graph theory) #Glass properties and applications #Length scale #Material Dynamics and Properties #Scale (ratio) #Scaling #Space (punctuation) #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1209/epl/i2004-10044-6
published as Europhys. Lett. Vol 67 (2004) 21. · 7 pages, 2 figures. Final version accepted on Europhysics Letters
arxiv created 2004/05/03 · openalex publication_date 2004/07/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We show that the glass transition predicted by the Mode-Coupling Theory (MCT) is a critical phenomenon with a diverging length and time scale associated to the cooperativity of the dynamics. We obtain the scaling exponents ν and z that relate space and time scales to the distance from criticality, as well as the scaling form of the critical four-point correlation function. However, both these predictions and other well-known MCT results are mean field in nature and are thus expected to change below the upper critical dimension d c = 6, as suggested by different forms of the Ginzburg criterion.